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Finding the Fourth Proportional to 21,071.98, 31,608.24 and 6,281.38

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Solution

The fourth proportional to 21,071.98, 31,608.24 and 6,281.38 is: 9,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.98 : 31,608.24 = 6,281.38 : x
  2. Step 2: Convert to fraction form
    21,071.98/31,608.24 = 6,281.38/x
  3. Step 3: Cross multiply
    21,071.98x = 31,608.24 × 6,281.38
  4. Step 4: Simplify right side
    21,071.98x = 198,543,366.57
  5. Step 5: Solve for x
    x = 198,543,366.57/21,071.98
  6. Step 6: Final answer
    x = 9,422.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.